Principal vertex operator representations for toroidal Lie algebras

@article{Billig1998PrincipalVO,
  title={Principal vertex operator representations for toroidal Lie algebras},
  author={Yuly Billig},
  journal={Journal of Mathematical Physics},
  year={1998},
  volume={39},
  pages={3844-3864}
}
  • Y. Billig
  • Published 28 February 1997
  • Physics, Mathematics
  • Journal of Mathematical Physics
We introduce the principal vertex operator representations for the toroidal Lie algebras generalizing the construction for the affine Kac–Moody algebras. We also represent the derivations of the toroidal algebras and introduce analogs of the Sugawara operators. 
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